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The product of all values of t , for whi...

The product of all values of `t ,` for which the system of equations `(a-t)x+b y+c z=0,b x+(c-t)y+a z=0,c x+a y+(b-t)z=0` has non-trivial solution, is (a) `|[a, -c, -b], [-c, b, -a], [-b, -a, c]|` (b) `|[a, b, c], [b, c, a], [c, a, b]|` (c) `|[a, c, b], [b, a, c], [c, b, a]|` (d) `|[a, a+b, b+c], [b, b+c, c+a], [c, c+a, a+b]|`

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CENGAGE PUBLICATION-DETERMINANTS-All Questions
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  3. Solve for x in R : |((x+a)(x-a),(x+b)(x-b),(x+c)(x-c)),((x-a)^3,(x-b)...

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  4. Absolute value of sum of roots of the equation |[x+2,2x+3, 3x+4],[ 2x+...

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  6. The product of all values of t , for which the system of equations (a-...

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  7. "If " a(1) ,a(2), a(3)….." are in A.P, then find the value of the fol...

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  8. Let omega=-1/2+i(sqrt(3))/2. Then the value of the determinant |(1,1,1...

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  9. Factorize: a x+b x+a y+b y +a x^2+b y^2+b x^2+a y^2 a^2+b c+a b+...

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  10. If g(x)=|[a^(-x),e^(x loge a),x^2],[a^(-3x),e^(3x loge a),x^4],[a^(-5x...

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  11. The sum of values of p for which the equations x+y+z=1, x+2y +4z...

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  12. The value of |alpha| for which the system of equation alphax+y+z=...

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  13. Let D1=|[a, b, a+b], [c, d, c+d], [a, b, a-b]| and D2=|[a, c, a+c], [b...

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  15. If |[x,x+y, x+y+z],[2x,3x+2y,4x+3y+2z],[3x,6x+3y, 10 x+6y+3z]|=64 , th...

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  16. Prove that : (1+ sin theta - cos theta) / (1+ sin theta + cos theta ) ...

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  18. Let Delta1=|{:(a1,a2,a3),(b1,b2,b3),(c1,c2,c3):}| , Delta2=|{:(6a1,2a2...

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  19. The value of |[2x1y1, x1y2+x2y1, x1y3+x3y1], [x1y2+x2y1, 2x2y2, x2y3+...

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